You are standing on the edge of a turntable with frictionless bearings. It is initially rotating when you catch a ball, which ismoving in the same direction but faster than you are moving and ona line tangent to the edge of the turntable. Assume you do not moverelative to the turntable.
a) Does the magnitude of your angular momentum (about therotation axis of the turntable) increase, decrease, or remain thesame during the catch?
b) How does the ball's angular momentum (about the rotationaxis of the table) change after the catch? Increase,decrease, or remain the same?
c) How does the total angular momentum of the system,you-table-ball (above the rotation axis of the turntable), changeafter the catch? Increase, decrease, or remain thesame?